Is it plausible to have six moons orbiting one planet in a 1:1 resonance?

I'm imagining six moons orbiting a single large planet along the same, circular path. Each moon is at the L5 Lagrange point of the one "ahead" of it, and at the L4 point of the one "behind". I realize this arrangement is unlikely to occur in nature, and that's ok. My question is, if it did somehow occur, is this a stable orbital configuration? If so, are there any restrictions that would apply? E.g., do the moons all need to be the same size? Can they spin, or no? What factors are likely to break this system?

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Is it plausible to have six moons orbiting one planet in a 1:1 resonance?

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